861613416 has 64 divisors (see below), whose sum is σ = 2403960000. Its totient is φ = 285933888.

The previous prime is 861613409. The next prime is 861613427. The reversal of 861613416 is 614316168.

861613416 is a `hidden beast` number, since 8 + 616 + 1 + 34 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40755 + ... + 58173.

It is an arithmetic number, because the mean of its divisors is an integer number (37561875).

Almost surely, 2^861613416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861613416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201980000).

861613416 is an abundant number, since it is smaller than the sum of its proper divisors (1542346584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

861613416 is a wasteful number, since it uses less digits than its factorization.

861613416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17663 (or 17653 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 861613416 is about 29353.2522218578. The cubic root of 861613416 is about 951.5628627677.

The spelling of 861613416 in words is "eight hundred sixty-one million, six hundred thirteen thousand, four hundred sixteen".